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Finding the Third Proportional to 665,927.25 and 1,438,260

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Solution

The third proportional to 665,927.25 and 1,438,260 is: 3,106,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,927.25 : 1,438,260 = 1,438,260 : x
  2. Step 2: Convert to fraction form
    665,927.25/1,438,260 = 1,438,260/x
  3. Step 3: Cross multiply
    665,927.25x = 1,438,260 × 1,438,260
  4. Step 4: Simplify right side
    665,927.25x = 2,068,591,827,600
  5. Step 5: Solve for x
    x = 2,068,591,827,600/665,927.25
  6. Step 6: Final answer
    x = 3,106,333.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.